Statement:

\({\Bbb R}\) is not the union of a countable family of countable sets.

Howard_Rubin_Number: 38

Parameter(s): This form does not depend on parameters

This form's transferability is: Transferable

This form's negation transferability is: Negation Transferable

Article Citations:
Levy-Feferman-1963: Independence results in set theory by Cohen's method II

Book references

Note connections:
Note 3

The following forms are listed as conclusions of this form class in rfb1: 34, 37, 108, 314,

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Complete List of Equivalent Forms

Howard-Rubin Number Statement References
38 A

\(UT(\aleph_{0},\aleph_{0},\neq 2^{\aleph_{0}})\): A denumerable union of denumerable sets does not have cardinality \(2^{\aleph_{0}}\).